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Finding the Fourth Proportional to 5,219.48, 7,826.91 and 3,752.50

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Solution

The fourth proportional to 5,219.48, 7,826.91 and 3,752.50 is: 5,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.48 : 7,826.91 = 3,752.50 : x
  2. Step 2: Convert to fraction form
    5,219.48/7,826.91 = 3,752.50/x
  3. Step 3: Cross multiply
    5,219.48x = 7,826.91 × 3,752.50
  4. Step 4: Simplify right side
    5,219.48x = 29,370,479.78
  5. Step 5: Solve for x
    x = 29,370,479.78/5,219.48
  6. Step 6: Final answer
    x = 5,627.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.